Spectrum Mathematics Gold Year 8

Symbols and abbreviations; Introduction; 1. The number system: 1.1. The decimal system, 1.2. Whole numbers, 1.3. Number patterns, 1.4. Powers (index notation), 1.5. Integers (directed whole numbers), 1.6. Decimal fractions and money, 1.7. Common fractions; 2. Right triangles - Pythagoras: 2.1. Squares and square roots, 2.2. Right triangles, 2.3. Measuring right triangles, 2.4. Pythagoras' theorem, 2.5. General applications; 3. Measurement: 3.1. The metric system, 3.2. Perimeter, 3.3. Area, 3.4. Volume and capacity, 3.5. Time; 4. Algebra - expressions: 4.1. The story so far, 4.2. Multiplication and division, 4.3. Index rules, 4.4. Distributive rule: expanding and factorising; 5. Data - tables and graphs: 5.1. Statistics and you, 5.2. Collecting data, 5.3. Sorting and organising data, 5.4. Displaying data as graphs; 6. Percentages: 6.1. Percentages so far, 6.2. Expressing one quantity as a percentage of another, 6.3. Percentages of quantities, 6.4.. Percentage changes, 6.5. Applications; 7. Circles and cylinders: 7.1. Drawing a circle, 7.2. Parts of a circle, 7.3. Circumference (perimeter) of a circle, 7.4. Area of a circle, 7.5. Volume of a cylinder; 8. Ratios and rates: 8.1. What is a ratio?, 8.2. Comparing ratios, 8.3. Division or sharing according to a given ratio, 8.4. Ratio applications, 8.5. Rates, 8.6. Speed and travel graphs, 8.7. Comparing rates; 9. Algebra - equations: 9.1. Algebraic equations, 9.2. Solving equations, 9.3. Equations with pronumerals on both sides, 9.4. Problem solving with equations; 10. Coordinate systems: 10.1. Grid references and maps, 10.2. Latitude and longitude, 10.3. The number plane, 10.4. Number plane graphs, 10.5. Graphing linear relationships; 11. Triangles and constructions: 11.1. Review of angles and triangles, 11.2. Angle relationships in triangles, 11.3. Isosceles and equilateral triangles, 11.4. Angle sum of a quadrilateral, 11.5. Constructing angles, 11.6. Constructing triangles, 11.7. Congruent shapes, 11.8. Congruent triangles, 11.9. Testing for congruent triangles; 12. Data - collection and analysis: 12.1. Data, 12.2. Displaying data, 12.3. Analysing data; 13. Scale drawing and similarity: 13.1. Similar figures, 13.2. Finding side lengths in similar triangles, 13.3. Rules for similar triangles, 13.4. Scale drawings, 13.5. Similar right triangles; 14. Geometric reasoning: 14.1. Angle relationships, 14.2. Angles on parallel lines, 14.3. Getting it all together, 14.4. Proving triangles congruent, 14.5. Finding unknown measurements from congruent triangles, 14.6. Finding out about quadrilaterals; 15. Data - misuse, prediction and chance: 15.1. Using statistics to mislead, 15.2. Estimation and prediction, 15.3. Chance and probability; Answers.